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11. Least-squares for model-fitting in statistics/8. Least-squares application 2.mp4 153.0 MB
14. Quadratic form and definiteness/7. Application of the normalized quadratic form PCA.mp4 132.5 MB
13. Singular value decomposition/8. Spectral theory of matrices.mp4 127.3 MB
14. Quadratic form and definiteness/5. Code challenge Visualize the normalized quadratic form.mp4 98.6 MB
5. Matrix rank/4. Computing rank theory and practice.mp4 94.7 MB
12. Eigendecomposition/10. Matrix powers via diagonalization.mp4 89.8 MB
7. Solving systems of equations/2. Systems of equations algebra and geometry.mp4 88.7 MB
13. Singular value decomposition/4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.mp4 86.9 MB
11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.mp4 84.5 MB
7. Solving systems of equations/6. Reduced row echelon form.mp4 83.1 MB
4. Matrix multiplications/11. Code challenge Geometric transformations via matrix multiplications.mp4 82.9 MB
2. Vectors/10. Dot product geometry sign and orthogonality.mp4 80.6 MB
8. Matrix determinant/8. Code challenge determinant of shifted matrices.mp4 79.8 MB
11. Least-squares for model-fitting in statistics/7. Least-squares application 1.mp4 79.6 MB
4. Matrix multiplications/7. Matrix-vector multiplication.mp4 79.5 MB
2. Vectors/27. Linear independence.mp4 79.4 MB
13. Singular value decomposition/9. SVD for low-rank approximations.mp4 77.5 MB
10. Projections and orthogonalization/11. Code challenge Inverse via QR.mp4 76.0 MB
12. Eigendecomposition/20. Code challenge GED in small and large matrices.mp4 75.9 MB
13. Singular value decomposition/15. Code challenge Create matrix with desired condition number.mp4 75.8 MB
9. Matrix inverse/6. Code challenge Implement the MCA algorithm!!.mp4 75.7 MB
13. Singular value decomposition/2. Singular value decomposition (SVD).mp4 74.4 MB
12. Eigendecomposition/3. Finding eigenvalues.mp4 73.5 MB
2. Vectors/23. Subspaces.mp4 73.0 MB
10. Projections and orthogonalization/8. QR decomposition.mp4 72.4 MB
13. Singular value decomposition/5. Code challenge U from eigendecomposition of A^TA.mp4 70.5 MB
4. Matrix multiplications/10. Code challenge Pure and impure rotation matrices.mp4 68.2 MB
9. Matrix inverse/5. The MCA algorithm to compute the inverse.mp4 67.4 MB
14. Quadratic form and definiteness/8. Quadratic form of generalized eigendecomposition.mp4 67.2 MB
10. Projections and orthogonalization/9. Code challenge Gram-Schmidt algorithm.mp4 67.0 MB
7. Solving systems of equations/4. Gaussian elimination.mp4 66.6 MB
12. Eigendecomposition/2. What are eigenvalues and eigenvectors.mp4 66.6 MB
8. Matrix determinant/5. Determinant of a 3x3 matrix.mp4 66.3 MB
14. Quadratic form and definiteness/9. Matrix definiteness, geometry, and eigenvalues.mp4 66.1 MB
12. Eigendecomposition/6. Code challenge eigenvalues of random matrices.mp4 65.8 MB
6. Matrix spaces/5. Null space and left null space of a matrix.mp4 64.8 MB
12. Eigendecomposition/14. Eigendecomposition of symmetric matrices.mp4 63.4 MB
2. Vectors/25. Span.mp4 62.8 MB
5. Matrix rank/11. Making a matrix full-rank by shifting.mp4 62.8 MB
10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.mp4 61.9 MB
5. Matrix rank/5. Rank of added and multiplied matrices.mp4 61.7 MB
13. Singular value decomposition/10. Convert singular values to percent variance.mp4 61.2 MB
2. Vectors/6. Dot product properties associative, distributive, commutative.mp4 60.1 MB
10. Projections and orthogonalization/4. Orthogonal and parallel vector components.mp4 60.1 MB
12. Eigendecomposition/7. Finding eigenvectors.mp4 59.7 MB
9. Matrix inverse/7. Computing the inverse via row reduction.mp4 58.9 MB
5. Matrix rank/8. Code challenge scalar multiplication and rank.mp4 58.4 MB
10. Projections and orthogonalization/12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.mp4 58.4 MB
6. Matrix spaces/2. Column space of a matrix.mp4 58.3 MB
2. Vectors/19. Hermitian transpose (a.k.a. conjugate transpose).mp4 58.2 MB
14. Quadratic form and definiteness/3. The quadratic form in geometry.mp4 57.9 MB
3. Introduction to matrices/4. A zoo of matrices.mp4 57.8 MB
9. Matrix inverse/12. Pseudo-inverse, part 1.mp4 57.1 MB
4. Matrix multiplications/13. Additive and multiplicative symmetric matrices.mp4 56.8 MB
11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.mp4 56.7 MB
10. Projections and orthogonalization/3. Projections in R^N.mp4 55.3 MB
4. Matrix multiplications/9. 2D transformation matrices.mp4 55.0 MB
13. Singular value decomposition/6. Code challenge A^TA, Av, and singular vectors.mp4 53.9 MB
6. Matrix spaces/8. Example of the four subspaces.mp4 53.4 MB
2. Vectors/28. Basis.mp4 53.4 MB
10. Projections and orthogonalization/7. Gram-Schmidt procedure.mp4 53.2 MB
7. Solving systems of equations/7. Code challenge RREF of matrices with different sizes and ranks.mp4 53.2 MB
4. Matrix multiplications/3. Four ways to think about matrix multiplication.mp4 53.1 MB
1. Introductions/1. What is linear algebra.mp4 52.6 MB
12. Eigendecomposition/16. Code challenge reconstruct a matrix from eigenlayers.mp4 52.3 MB
4. Matrix multiplications/17. Multiplication of two symmetric matrices.mp4 52.2 MB
12. Eigendecomposition/9. Diagonalization.mp4 52.1 MB
6. Matrix spaces/6. Columnleft-null and rownull spaces are orthogonal.mp4 51.7 MB
5. Matrix rank/2. Rank concepts, terms, and applications.mp4 51.3 MB
9. Matrix inverse/2. Matrix inverse Concept and applications.mp4 51.2 MB
12. Eigendecomposition/11. Code challenge eigendecomposition of matrix differences.mp4 50.9 MB
12. Eigendecomposition/13. Eigenvectors of repeated eigenvalues.mp4 50.3 MB
4. Matrix multiplications/19. Code challenge Fourier transform via matrix multiplication!.mp4 50.2 MB
12. Eigendecomposition/8. Eigendecomposition by hand two examples.mp4 48.9 MB
14. Quadratic form and definiteness/2. The quadratic form in algebra.mp4 48.8 MB
7. Solving systems of equations/8. Matrix spaces after row reduction.mp4 48.0 MB
14. Quadratic form and definiteness/11. Proof Eigenvalues and matrix definiteness.mp4 47.8 MB
12. Eigendecomposition/19. Generalized eigendecomposition.mp4 47.5 MB
4. Matrix multiplications/20. Frobenius dot product.mp4 47.3 MB
9. Matrix inverse/10. One-sided inverses in MATLAB.mp4 47.3 MB
5. Matrix rank/9. Rank of A^TA and AA^T.mp4 47.2 MB
2. Vectors/21. Code challenge dot products with unit vectors.mp4 47.1 MB
2. Vectors/13. Code challenge dot product sign and scalar multiplication.mp4 47.0 MB
13. Singular value decomposition/13. SVD, matrix inverse, and pseudoinverse.mp4 46.8 MB
11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.mp4 46.5 MB
2. Vectors/17. Vector cross product.mp4 46.5 MB
10. Projections and orthogonalization/6. Orthogonal matrices.mp4 46.0 MB
11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.mp4 44.5 MB
13. Singular value decomposition/14. Condition number of a matrix.mp4 44.5 MB
2. Vectors/16. Outer product.mp4 44.1 MB
9. Matrix inverse/9. Left inverse and right inverse.mp4 43.6 MB
12. Eigendecomposition/12. Eigenvectors of distinct eigenvalues.mp4 43.5 MB
2. Vectors/2. Algebraic and geometric interpretations of vectors.mp4 42.7 MB
6. Matrix spaces/7. Dimensions of columnrownull spaces.mp4 41.8 MB
9. Matrix inverse/4. Inverse of a 2x2 matrix.mp4 40.8 MB
2. Vectors/22. Dimensions and fields in linear algebra.mp4 40.6 MB
8. Matrix determinant/4. Code challenge determinant of small and large singular matrices.mp4 40.6 MB
4. Matrix multiplications/2. Introduction to standard matrix multiplication.mp4 39.6 MB
9. Matrix inverse/8. Code challenge inverse of a diagonal matrix.mp4 39.1 MB
13. Singular value decomposition/7. SVD and the four subspaces.mp4 39.0 MB
10. Projections and orthogonalization/2. Projections in R^2.mp4 38.7 MB
4. Matrix multiplications/6. Order-of-operations on matrices.mp4 38.6 MB
3. Introduction to matrices/13. Code challenge linearity of trace.mp4 38.0 MB
4. Matrix multiplications/4. Code challenge matrix multiplication by layering.mp4 37.4 MB
5. Matrix rank/7. Code challenge reduced-rank matrix via multiplication.mp4 36.1 MB
11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.mp4 36.0 MB
4. Matrix multiplications/16. Code challenge symmetry of combined symmetric matrices.mp4 35.9 MB
6. Matrix spaces/9. More on Ax=b and Ax=0.mp4 35.7 MB
12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.mp4 35.5 MB
8. Matrix determinant/2. Determinant concept and applications.mp4 35.4 MB
12. Eigendecomposition/18. Code challenge trace and determinant, eigenvalues sum and product.mp4 34.6 MB
2. Vectors/18. Vectors with complex numbers.mp4 34.5 MB
3. Introduction to matrices/2. Matrix terminology and dimensionality.mp4 34.2 MB
2. Vectors/5. Vector-vector multiplication the dot product.mp4 33.9 MB
3. Introduction to matrices/9. Transpose.mp4 32.8 MB
14. Quadratic form and definiteness/4. The normalized quadratic form.mp4 32.8 MB
14. Quadratic form and definiteness/10. Proof A^TA is always positive (semi)definite.mp4 32.2 MB
5. Matrix rank/10. Code challenge rank of multiplied and summed matrices.mp4 31.4 MB
1. Introductions/2. Linear algebra applications.mp4 31.0 MB
2. Vectors/4. Vector-scalar multiplication.mp4 30.9 MB
7. Solving systems of equations/5. Echelon form and pivots.mp4 30.7 MB
11. Least-squares for model-fitting in statistics/9. Code challenge Least-squares via QR decomposition.mp4 30.7 MB
2. Vectors/24. Subspaces vs. subsets.mp4 30.5 MB
13. Singular value decomposition/11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.mp4 30.2 MB
6. Matrix spaces/3. Column space, visualized in MATLAB.mp4 29.4 MB
2. Vectors/14. Code challenge is the dot product commutative.mp4 28.9 MB
8. Matrix determinant/3. Determinant of a 2x2 matrix.mp4 28.7 MB
3. Introduction to matrices/12. Diagonal and trace.mp4 28.6 MB
3. Introduction to matrices/6. Matrix addition and subtraction.mp4 28.4 MB
1. Introductions/3. How best to learn from this course.mp4 28.3 MB
1. Introductions/6. Using the Q&A forum.mp4 28.1 MB
2. Vectors/20. Interpreting and creating unit vectors.mp4 27.8 MB
2. Vectors/3. Vector addition and subtraction.mp4 27.1 MB
3. Introduction to matrices/8. Code challenge is matrix-scalar multiplication a linear operation.mp4 26.5 MB
4. Matrix multiplications/12. Additive and multiplicative matrix identities.mp4 26.5 MB
14. Quadratic form and definiteness/6. Eigenvectors and the quadratic form surface.mp4 26.2 MB
12. Eigendecomposition/15. Eigenlayers of a matrix.mp4 25.9 MB
5. Matrix rank/12. Code challenge is this vector in the span of this set.mp4 25.6 MB
2. Vectors/8. Vector length.mp4 25.0 MB
6. Matrix spaces/4. Row space of a matrix.mp4 24.6 MB
2. Vectors/7. Code challenge dot products with matrix columns.mp4 24.2 MB
10. Projections and orthogonalization/13. Code challenge A^TA = R^TR.mp4 23.0 MB
8. Matrix determinant/7. Find matrix values for a given determinant.mp4 22.6 MB
1. Introductions/4. Using MATLAB, Octave, or Python in this course.mp4 22.2 MB
7. Solving systems of equations/3. Converting systems of equations to matrix equations.mp4 22.0 MB
12. Eigendecomposition/17. Eigendecomposition of singular matrices.mp4 21.0 MB
4. Matrix multiplications/18. Code challenge standard and Hadamard multiplication for diagonal matrices.mp4 20.9 MB
9. Matrix inverse/13. Code challenge pseudoinverse of invertible matrices.mp4 20.3 MB
9. Matrix inverse/3. Computing the inverse in MATLAB.mp4 19.8 MB
4. Matrix multiplications/5. Matrix multiplication with a diagonal matrix.mp4 19.4 MB
1. Introductions/5. Leaving reviews, course coupons.mp4 18.7 MB
8. Matrix determinant/6. Code challenge large matrices with row exchanges.mp4 18.6 MB
9. Matrix inverse/11. Proof the inverse is unique.mp4 17.3 MB
4. Matrix multiplications/21. What about matrix division.mp4 14.8 MB
12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.mp4 13.2 MB
2. Vectors/15. Vector Hadamard multiplication.mp4 12.7 MB
4. Matrix multiplications/14. Hadamard (element-wise) multiplication.mp4 12.5 MB
3. Introduction to matrices/7. Matrix-scalar multiplication.mp4 8.3 MB
10. Projections and orthogonalization/10. Matrix inverse via QR decomposition.mp4 7.4 MB
3. Introduction to matrices/10. Complex matrices.mp4 7.1 MB
14. Quadratic form and definiteness/1.1 linalg_quadformDefinite.zip.zip 405.0 kB
2. Vectors/1.1 linalg_vectors.zip.zip 395.1 kB
13. Singular value decomposition/1.1 linalg_svd.zip.zip 338.9 kB
11. Least-squares for model-fitting in statistics/1.1 linalg_leastsquares.zip.zip 323.0 kB
12. Eigendecomposition/1.1 linalg_eig.zip.zip 304.4 kB
10. Projections and orthogonalization/1.1 linalg_projorth.zip.zip 252.4 kB
9. Matrix inverse/1.1 linalg_inverse.zip.zip 231.6 kB
4. Matrix multiplications/1.1 linalg_matrixMult.zip.zip 219.9 kB
7. Solving systems of equations/1.1 linalg_systems.zip.zip 216.3 kB
6. Matrix spaces/1.1 linalg_matrixSpaces.zip.zip 215.0 kB
5. Matrix rank/1.1 linalg_matrixRank.zip.zip 184.0 kB
3. Introduction to matrices/1.1 linalg_matrices.zip.zip 170.3 kB
8. Matrix determinant/1.1 linalg_matrixDet.pdf.pdf 141.6 kB
6. Matrix spaces/5. Null space and left null space of a matrix.mp4.jpg 61.1 kB
10. Projections and orthogonalization/8. QR decomposition.mp4.jpg 55.6 kB
11. Least-squares for model-fitting in statistics/8. Least-squares application 2.vtt 22.2 kB
14. Quadratic form and definiteness/7. Application of the normalized quadratic form PCA.vtt 20.3 kB
7. Solving systems of equations/6. Reduced row echelon form.vtt 20.0 kB
5. Matrix rank/4. Computing rank theory and practice.vtt 19.5 kB
7. Solving systems of equations/4. Gaussian elimination.vtt 18.5 kB
2. Vectors/10. Dot product geometry sign and orthogonality.vtt 18.4 kB
7. Solving systems of equations/2. Systems of equations algebra and geometry.vtt 18.2 kB
2. Vectors/27. Linear independence.vtt 18.0 kB
12. Eigendecomposition/3. Finding eigenvalues.vtt 17.6 kB
9. Matrix inverse/6. Code challenge Implement the MCA algorithm!!.vtt 17.6 kB
2. Vectors/23. Subspaces.vtt 17.4 kB
4. Matrix multiplications/7. Matrix-vector multiplication.vtt 17.4 kB
13. Singular value decomposition/4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.vtt 17.4 kB
12. Eigendecomposition/10. Matrix powers via diagonalization.vtt 16.8 kB
14. Quadratic form and definiteness/5. Code challenge Visualize the normalized quadratic form.vtt 16.4 kB
9. Matrix inverse/5. The MCA algorithm to compute the inverse.vtt 16.3 kB
6. Matrix spaces/5. Null space and left null space of a matrix.vtt 16.2 kB
4. Matrix multiplications/11. Code challenge Geometric transformations via matrix multiplications.vtt 16.2 kB
8. Matrix determinant/8. Code challenge determinant of shifted matrices.vtt 16.1 kB
13. Singular value decomposition/2. Singular value decomposition (SVD).vtt 16.1 kB
10. Projections and orthogonalization/12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.vtt 16.0 kB
13. Singular value decomposition/8. Spectral theory of matrices.vtt 15.9 kB
10. Projections and orthogonalization/9. Code challenge Gram-Schmidt algorithm.vtt 15.8 kB
8. Matrix determinant/5. Determinant of a 3x3 matrix.vtt 15.8 kB
10. Projections and orthogonalization/7. Gram-Schmidt procedure.vtt 15.5 kB
5. Matrix rank/8. Code challenge scalar multiplication and rank.vtt 15.4 kB
11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.vtt 15.3 kB
12. Eigendecomposition/20. Code challenge GED in small and large matrices.vtt 15.3 kB
2. Vectors/6. Dot product properties associative, distributive, commutative.vtt 15.0 kB
6. Matrix spaces/2. Column space of a matrix.vtt 14.8 kB
9. Matrix inverse/2. Matrix inverse Concept and applications.vtt 14.7 kB
13. Singular value decomposition/5. Code challenge U from eigendecomposition of A^TA.vtt 14.6 kB
10. Projections and orthogonalization/8. QR decomposition.vtt 14.5 kB
10. Projections and orthogonalization/4. Orthogonal and parallel vector components.vtt 14.5 kB
13. Singular value decomposition/15. Code challenge Create matrix with desired condition number.vtt 14.4 kB
12. Eigendecomposition/2. What are eigenvalues and eigenvectors.vtt 14.3 kB
11. Least-squares for model-fitting in statistics/7. Least-squares application 1.vtt 14.3 kB
2. Vectors/19. Hermitian transpose (a.k.a. conjugate transpose).vtt 14.0 kB
7. Solving systems of equations/7. Code challenge RREF of matrices with different sizes and ranks.vtt 13.7 kB
9. Matrix inverse/7. Computing the inverse via row reduction.vtt 13.7 kB
4. Matrix multiplications/9. 2D transformation matrices.vtt 13.7 kB
6. Matrix spaces/8. Example of the four subspaces.vtt 13.6 kB
12. Eigendecomposition/7. Finding eigenvectors.vtt 13.6 kB
4. Matrix multiplications/13. Additive and multiplicative symmetric matrices.vtt 13.6 kB
4. Matrix multiplications/3. Four ways to think about matrix multiplication.vtt 13.4 kB
10. Projections and orthogonalization/6. Orthogonal matrices.vtt 13.4 kB
12. Eigendecomposition/14. Eigendecomposition of symmetric matrices.vtt 13.4 kB
2. Vectors/13. Code challenge dot product sign and scalar multiplication.vtt 13.4 kB
13. Singular value decomposition/9. SVD for low-rank approximations.vtt 13.3 kB
11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.vtt 13.3 kB
3. Introduction to matrices/4. A zoo of matrices.vtt 13.3 kB
13. Singular value decomposition/10. Convert singular values to percent variance.vtt 13.2 kB
2. Vectors/28. Basis.vtt 13.2 kB
10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.vtt 13.1 kB
5. Matrix rank/5. Rank of added and multiplied matrices.vtt 13.0 kB
13. Singular value decomposition/6. Code challenge A^TA, Av, and singular vectors.vtt 12.9 kB
2. Vectors/25. Span.vtt 12.8 kB
14. Quadratic form and definiteness/3. The quadratic form in geometry.vtt 12.7 kB
5. Matrix rank/11. Making a matrix full-rank by shifting.vtt 12.5 kB
5. Matrix rank/2. Rank concepts, terms, and applications.vtt 12.5 kB
4. Matrix multiplications/10. Code challenge Pure and impure rotation matrices.vtt 12.4 kB
14. Quadratic form and definiteness/2. The quadratic form in algebra.vtt 12.4 kB
6. Matrix spaces/6. Columnleft-null and rownull spaces are orthogonal.vtt 12.2 kB
12. Eigendecomposition/11. Code challenge eigendecomposition of matrix differences.vtt 12.1 kB
2. Vectors/21. Code challenge dot products with unit vectors.vtt 12.1 kB
12. Eigendecomposition/16. Code challenge reconstruct a matrix from eigenlayers.vtt 12.1 kB
4. Matrix multiplications/19. Code challenge Fourier transform via matrix multiplication!.vtt 12.0 kB
12. Eigendecomposition/13. Eigenvectors of repeated eigenvalues.vtt 12.0 kB
5. Matrix rank/9. Rank of A^TA and AA^T.vtt 12.0 kB
10. Projections and orthogonalization/3. Projections in R^N.vtt 11.8 kB
12. Eigendecomposition/9. Diagonalization.vtt 11.7 kB
4. Matrix multiplications/17. Multiplication of two symmetric matrices.vtt 11.5 kB
2. Vectors/2. Algebraic and geometric interpretations of vectors.vtt 11.1 kB
12. Eigendecomposition/8. Eigendecomposition by hand two examples.vtt 11.1 kB
12. Eigendecomposition/6. Code challenge eigenvalues of random matrices.vtt 11.1 kB
14. Quadratic form and definiteness/9. Matrix definiteness, geometry, and eigenvalues.vtt 11.1 kB
14. Quadratic form and definiteness/8. Quadratic form of generalized eigendecomposition.vtt 11.0 kB
11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.vtt 10.9 kB
7. Solving systems of equations/8. Matrix spaces after row reduction.vtt 10.8 kB
9. Matrix inverse/9. Left inverse and right inverse.vtt 10.8 kB
8. Matrix determinant/4. Code challenge determinant of small and large singular matrices.vtt 10.5 kB
13. Singular value decomposition/13. SVD, matrix inverse, and pseudoinverse.vtt 10.5 kB
12. Eigendecomposition/19. Generalized eigendecomposition.vtt 10.3 kB
11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.vtt 10.2 kB
3. Introduction to matrices/13. Code challenge linearity of trace.vtt 10.0 kB
13. Singular value decomposition/14. Condition number of a matrix.vtt 10.0 kB
12. Eigendecomposition/18. Code challenge trace and determinant, eigenvalues sum and product.vtt 9.9 kB
9. Matrix inverse/12. Pseudo-inverse, part 1.vtt 9.9 kB
10. Projections and orthogonalization/2. Projections in R^2.vtt 9.9 kB
2. Vectors/16. Outer product.vtt 9.8 kB
9. Matrix inverse/8. Code challenge inverse of a diagonal matrix.vtt 9.7 kB
12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.vtt 9.7 kB
4. Matrix multiplications/20. Frobenius dot product.vtt 9.6 kB
4. Matrix multiplications/2. Introduction to standard matrix multiplication.vtt 9.5 kB
4. Matrix multiplications/16. Code challenge symmetry of combined symmetric matrices.vtt 9.5 kB
4. Matrix multiplications/4. Code challenge matrix multiplication by layering.vtt 9.5 kB
2. Vectors/18. Vectors with complex numbers.vtt 9.4 kB
1. Introductions/1. What is linear algebra.vtt 9.4 kB
6. Matrix spaces/7. Dimensions of columnrownull spaces.vtt 9.3 kB
10. Projections and orthogonalization/11. Code challenge Inverse via QR.vtt 9.2 kB
12. Eigendecomposition/12. Eigenvectors of distinct eigenvalues.vtt 9.2 kB
3. Introduction to matrices/2. Matrix terminology and dimensionality.vtt 9.2 kB
9. Matrix inverse/4. Inverse of a 2x2 matrix.vtt 9.2 kB
14. Quadratic form and definiteness/11. Proof Eigenvalues and matrix definiteness.vtt 9.1 kB
2. Vectors/22. Dimensions and fields in linear algebra.vtt 9.0 kB
5. Matrix rank/7. Code challenge reduced-rank matrix via multiplication.vtt 9.0 kB
7. Solving systems of equations/5. Echelon form and pivots.vtt 8.7 kB
2. Vectors/5. Vector-vector multiplication the dot product.vtt 8.7 kB
2. Vectors/14. Code challenge is the dot product commutative.vtt 8.6 kB
11. Least-squares for model-fitting in statistics/9. Code challenge Least-squares via QR decomposition.vtt 8.5 kB
6. Matrix spaces/9. More on Ax=b and Ax=0.vtt 8.3 kB
8. Matrix determinant/3. Determinant of a 2x2 matrix.vtt 8.3 kB
13. Singular value decomposition/7. SVD and the four subspaces.vtt 8.2 kB
5. Matrix rank/12. Code challenge is this vector in the span of this set.vtt 8.1 kB
2. Vectors/7. Code challenge dot products with matrix columns.vtt 8.1 kB
14. Quadratic form and definiteness/10. Proof A^TA is always positive (semi)definite.vtt 7.8 kB
11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.vtt 7.8 kB
2. Vectors/4. Vector-scalar multiplication.vtt 7.8 kB
5. Matrix rank/10. Code challenge rank of multiplied and summed matrices.vtt 7.7 kB
2. Vectors/17. Vector cross product.vtt 7.7 kB
3. Introduction to matrices/9. Transpose.vtt 7.7 kB
9. Matrix inverse/10. One-sided inverses in MATLAB.vtt 7.6 kB
4. Matrix multiplications/6. Order-of-operations on matrices.vtt 7.5 kB
14. Quadratic form and definiteness/4. The normalized quadratic form.vtt 7.4 kB
8. Matrix determinant/2. Determinant concept and applications.vtt 7.4 kB
13. Singular value decomposition/11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.vtt 7.1 kB
2. Vectors/3. Vector addition and subtraction.vtt 7.1 kB
1. Introductions/2. Linear algebra applications.vtt 7.0 kB
3. Introduction to matrices/6. Matrix addition and subtraction.vtt 6.9 kB
2. Vectors/8. Vector length.vtt 6.7 kB
3. Introduction to matrices/12. Diagonal and trace.vtt 6.7 kB
1. Introductions/6. Using the Q&A forum.vtt 6.7 kB
12. Eigendecomposition/15. Eigenlayers of a matrix.vtt 6.6 kB
3. Introduction to matrices/8. Code challenge is matrix-scalar multiplication a linear operation.vtt 6.4 kB
2. Vectors/24. Subspaces vs. subsets.vtt 6.3 kB
2. Vectors/20. Interpreting and creating unit vectors.vtt 6.3 kB
8. Matrix determinant/7. Find matrix values for a given determinant.vtt 5.9 kB
4. Matrix multiplications/12. Additive and multiplicative matrix identities.vtt 5.9 kB
4. Matrix multiplications/18. Code challenge standard and Hadamard multiplication for diagonal matrices.vtt 5.9 kB
8. Matrix determinant/6. Code challenge large matrices with row exchanges.vtt 5.7 kB
12. Eigendecomposition/17. Eigendecomposition of singular matrices.vtt 5.6 kB
1. Introductions/3. How best to learn from this course.vtt 5.3 kB
7. Solving systems of equations/3. Converting systems of equations to matrix equations.vtt 5.2 kB
9. Matrix inverse/13. Code challenge pseudoinverse of invertible matrices.vtt 5.0 kB
4. Matrix multiplications/21. What about matrix division.vtt 5.0 kB
10. Projections and orthogonalization/13. Code challenge A^TA = R^TR.vtt 4.9 kB
6. Matrix spaces/4. Row space of a matrix.vtt 4.9 kB
1. Introductions/4. Using MATLAB, Octave, or Python in this course.vtt 4.7 kB
4. Matrix multiplications/5. Matrix multiplication with a diagonal matrix.vtt 4.4 kB
6. Matrix spaces/3. Column space, visualized in MATLAB.vtt 4.3 kB
14. Quadratic form and definiteness/6. Eigenvectors and the quadratic form surface.vtt 4.2 kB
9. Matrix inverse/3. Computing the inverse in MATLAB.vtt 3.9 kB
9. Matrix inverse/11. Proof the inverse is unique.vtt 3.5 kB
12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.vtt 3.1 kB
4. Matrix multiplications/14. Hadamard (element-wise) multiplication.vtt 3.0 kB
1. Introductions/5. Leaving reviews, course coupons.vtt 2.9 kB
2. Vectors/15. Vector Hadamard multiplication.vtt 2.8 kB
15. Discount coupons for related courses/1. Bonus Links to related courses.html 2.3 kB
3. Introduction to matrices/10. Complex matrices.vtt 2.2 kB
10. Projections and orthogonalization/10. Matrix inverse via QR decomposition.vtt 2.0 kB
3. Introduction to matrices/7. Matrix-scalar multiplication.vtt 1.9 kB
6. Matrix spaces/5. Null space and left null space of a matrix.txt 250 Bytes
10. Projections and orthogonalization/4. Orthogonal and parallel vector components.txt 249 Bytes
10. Projections and orthogonalization/8. QR decomposition.txt 224 Bytes
13. Singular value decomposition/12. Singular values of an orthogonal matrix.html 144 Bytes
13. Singular value decomposition/3. Are these two expressions equal.html 144 Bytes
2. Vectors/11. Vector orthogonality.html 144 Bytes
2. Vectors/12. Relative vector angles.html 144 Bytes
2. Vectors/26. In the span.html 144 Bytes
2. Vectors/9. Vector length in MATLAB.html 144 Bytes
3. Introduction to matrices/11. Addition, equality, and transpose.html 144 Bytes
3. Introduction to matrices/3. Matrix sizes and dimensionality.html 144 Bytes
3. Introduction to matrices/5. Can the matrices be concatenated.html 144 Bytes
4. Matrix multiplications/15. Matrix operation equality.html 144 Bytes
4. Matrix multiplications/8. Find the missing value!.html 144 Bytes
5. Matrix rank/3. Maximum possible rank..html 144 Bytes
5. Matrix rank/6. What's the maximum possible rank.html 144 Bytes
4. Matrix multiplications/1. Exercises + code.html 87 Bytes
11. Least-squares for model-fitting in statistics/1. Exercises + code.html 86 Bytes
5. Matrix rank/1. Exercises + code.html 85 Bytes
9. Matrix inverse/1. Exercises + code.html 85 Bytes
2. Vectors/1. Exercises + code.html 80 Bytes
10. Projections and orthogonalization/1. Exercises + code.html 76 Bytes
3. Introduction to matrices/1. Exercises + code.html 75 Bytes
14. Quadratic form and definiteness/1. Exercises + code.html 55 Bytes
8. Matrix determinant/1. Exercises.html 52 Bytes
[GigaCourse.com].url 49 Bytes
7. Solving systems of equations/1. Exercises + code.html 40 Bytes
6. Matrix spaces/1. Exercises + code.html 36 Bytes
12. Eigendecomposition/1. Exercises + code.html 33 Bytes
13. Singular value decomposition/1. Exercises + code.html 26 Bytes

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